4.1.1 Probability (A-level only)

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Question 57

A quality control engineer monitors a semiconductor fabrication process for two specific types of defects: alignment errors ( $E_A$ ) and bonding errors ( $E_B$ ).

Data from the production line indicates that:

P(E_A \cap E_B) = 0.15

P(E_A' \cap E_B') = 0.25

P(E_B) = 2P(E_A)

a.

Find $P(E_A)$ .

[4]

b.

Calculate the conditional probability $P(E_B | E_A)$ .

[2]

c.

Determine if the events $E_A$ and $E_B$ are independent.

[1]

4.1.1 Probability (A-level only)

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Question 57

A quality control engineer monitors a semiconductor fabrication process for two specific types of defects: alignment errors ( $E_A$ ) and bonding errors ( $E_B$ ).

Data from the production line indicates that:

P(E_A \cap E_B) = 0.15

P(E_A' \cap E_B') = 0.25

P(E_B) = 2P(E_A)

a.

Find $P(E_A)$ .

[4]

b.

Calculate the conditional probability $P(E_B | E_A)$ .

[2]

c.

Determine if the events $E_A$ and $E_B$ are independent.

[1]

4.1.1 Probability (A-level only)

Question 57

4.1.1 Probability (A-level only) Questions

4.1.1 Probability (A-level only)

Question 57

4.1.1 Probability (A-level only) Questions